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Finding the Fourth Proportional to 143.14, 197.24 and 125.32

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Solution

The fourth proportional to 143.14, 197.24 and 125.32 is: 172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.14 : 197.24 = 125.32 : x
  2. Step 2: Convert to fraction form
    143.14/197.24 = 125.32/x
  3. Step 3: Cross multiply
    143.14x = 197.24 × 125.32
  4. Step 4: Simplify right side
    143.14x = 24,718.12
  5. Step 5: Solve for x
    x = 24,718.12/143.14
  6. Step 6: Final answer
    x = 172.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.